Let us begin with the definition of the universal tropical Jacobian as a stack over the category \(\operatorname{\bf {RPCC}}\)  of rational polyhedral cone complexes endowed with the face topology, or equivalently as a category fibered in groupoids over the category \(\operatorname{\bf {RPC}}\)  of rational polyhedral cones (see [1]}). We go through the effort of using this formalism, rather than, say, the formalism of generalized cone complexes, as this is the formalism that will allow us to compare the universal tropical Jacobian with its logarithmic analogue.
